Question

Explain weather or not the two triangles below could lie on the same line. Be sure to use the slope of each triangle in your justification.

Answer 1

Answer:

No, these triangles cannot lie on the same line.

Step-by-step explanation:

For two triangles to lie on the same line they must have the same slope.

The slope of the bigger triangle is

$m=\frac{rise}{run} =-\frac{18}{10} =-1.8$

and the slope of the smaller triangle is

$m=\frac{rise}{run} =-\frac{2}{3} =-0.67$

slopes are negative because the triangles are leaning to the left.

We see that the slopes of the two triangles are not the same; therefore, they cannot lie on the same line.